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Whenever I type a longer equation it gets unreadable very quickly. Is it possible to shorten the expression

\alpha(z,n)=\left( \sqrt{\frac{1}{2\pi i}} \sum_{k=1}^{\infty}\frac{z^k+n}{x^{2k}} \right)^n

by using characters in the latex code so that

\alpha shows as α
\sqrt{} shows as √{}
\frac{a}{b} shows as a/b (to spare brackets: a is in superscript and b is in subscript)  
\sum shows as ∑ (there is another sigma for using it as a letter Σ)
\infty shows as ∞

Meaning without super-/subscript we would have

α(z,n)=\left( √{1/2πi} ∑ k=1 ∞ z^k+n/ x^{2k} \right)^n.
ty.
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